Theorems · Theorem · combinatorics
Matroid.eRk_freeOn
∀ {α : Type u_1} {X Y : Set α}, X ⊆ Y → (Matroid.freeOn Y).eRk X = X.encard- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- ENatstatement and proof · cited by 4,985
- Set.encardstatement and proof · cited by 327
- Matroid.IsBasisproof · cited by 219
- Matroid.eRkstatement · cited by 101
- Matroid.freeOnstatement and proof · cited by 25
- Matroid.exists_isBasisproof · cited by 23
- Matroid.IsBasis.eRk_eq_encardproof · cited by 7
- Matroid.Indep.eq_of_isBasisproof · cited by 4
- Matroid.freeOn_indepproof · cited by 3
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